How many ways can 3 different prizes be awarded to 5 students?
Practice Questions
1 question
Q1
How many ways can 3 different prizes be awarded to 5 students?
60
100
120
30
The number of ways to award 3 prizes to 5 students is P(5, 3) = 60.
Questions & Step-by-step Solutions
1 item
Q
Q: How many ways can 3 different prizes be awarded to 5 students?
Solution: The number of ways to award 3 prizes to 5 students is P(5, 3) = 60.
Steps: 10
Step 1: Understand that we have 3 different prizes to give out.
Step 2: Recognize that there are 5 students who can receive these prizes.
Step 3: Realize that the order in which we award the prizes matters because they are different.
Step 4: Use the formula for permutations, which is P(n, r) = n! / (n - r)!, where n is the total number of items (students) and r is the number of items to choose (prizes).
Step 5: In this case, n = 5 (students) and r = 3 (prizes).
